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Finding the Fourth Proportional to 5,494.34, 7,582.16 and 2,976.46

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Solution

The fourth proportional to 5,494.34, 7,582.16 and 2,976.46 is: 4,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.34 : 7,582.16 = 2,976.46 : x
  2. Step 2: Convert to fraction form
    5,494.34/7,582.16 = 2,976.46/x
  3. Step 3: Cross multiply
    5,494.34x = 7,582.16 × 2,976.46
  4. Step 4: Simplify right side
    5,494.34x = 22,567,995.95
  5. Step 5: Solve for x
    x = 22,567,995.95/5,494.34
  6. Step 6: Final answer
    x = 4,107.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.